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GCF of 34/849, 1771/8448

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 34/849, 1771/8448 i.e 1/2390784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/849, 1771/8448.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 34/849,1771/8448?

Given fractions are 34/849,1771/8448

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 34/849,1771/8448, numerators are 34,1771

Denominators are 849,8448

The GCF of 34,1771 is 1 .

LCM of 849,8448 is 2390784.

The greatest common factor of 34/849,1771/8448 = [GCF of 34,1771]/[LCM of 849,8448]= 1/2390784

Therefore, the GCF of 34/849,1771/8448 is 1/2390784.

Greatest Common Factor of 34,1771

To find the highest common factor of 34,1771, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771

The HCF of 34,1771 is 1.

Lets's calculate GCF of 34,1771

Greatest Common Factor (GCF) of 34,1771 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 34,1771 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,1771 By Matching Biggest Common Factor Method

Now, list down the factors of 34

:

1,2,17,34

Now, list down the factors of 1771

:

1,7,11,23,77,161,253,1771

Greatest Common Factor

We found the factors 34,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1771 is 1.

Lets's calculate LCM of 849,8448

Lowest Common Multiple of 849,8448 using Common Division

3 849, 8448
283, 2816

∴ So the LCM of the given numbers is 3 x 283 x 2816 = 2390784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2390784

Therefore, the GCF of Fractions 34/849,1771/8448 is 1/2390784

Least Common Multiple of 849,8448 with GCF Formula

Least Common Multiple of 849,8448 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 849,8448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,8448) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(849,8448) x common factors =3 x 1 = 3

LCM(849,8448) = ( 849 × 8448 ) / 3

LCM(849,8448) = 7172352 / 3

LCM(849,8448) = 2390784


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/849, 1771/8448

1. What is the HCF of 34,1771?

The HCF of 34,1771 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 34/849, 1771/8448?

Answer: GCF of Numerators as per given numbers 34/849, 1771/8448 is

GCF of Numerators i.e. for 34,1771 is 1

LCM of denominators i.e. for 849,8448 is 2390784.

Thus, GCF of Fractions is 1/2390784.Finally, GCF of Fractions for 34/849, 1771/8448 is 1/2390784.